Atkin-Lehner |
2- 3+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
55632m |
Isogeny class |
Conductor |
55632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1363482277576704 = -1 · 220 · 310 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 1 5 3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4416,-1778688] |
[a1,a2,a3,a4,a6] |
Generators |
[762:20898:1] |
Generators of the group modulo torsion |
j |
-2325676477249/332881415424 |
j-invariant |
L |
5.6384531399205 |
L(r)(E,1)/r! |
Ω |
0.21386630052409 |
Real period |
R |
3.2955479230018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6954n1 |
Quadratic twists by: -4 |